QuestionSimplify the expression: $\frac{(x+\Delta x)^{2}-9(x+\Delta x)+8-(x^{2}-9 x+8)}{\Delta x}$.

Studdy Solution
Now, we can cancel out $\Delta x$ from the numerator and the denominator.
$$\frac{\Delta x(2x + \Delta x -9)}{\Delta x} =2x + \Delta x -9$$So, the simplified form of the given expression is $2x + \Delta x -9$.